School of Mathematics

Dr Matthew D P Daws

Lecturer
Pure Mathematics

Contact details

Room: Satellite 10.13
Tel: +44 (0)113 3435865
Email: M.D.P.Daws @ leeds.ac.uk

Keywords

Banach algebras
Operator algebras
Banach spaces
Quantum groups
Harmonic Analysis

Research interests

I am interested in studying algebraic objects which have an analytic flavour-- often infinite dimensional algebras which carry some form of topology. For example, given a locally compact group, we always have an invariant Haar measure, and this allows us to build the standard L^1 convolution algebra, or the Fourier algebra. It has long been recognised that these algebras are "dual" to one another-- the framework of operator algebraic quantum groups allows us to make this precise. I am interested in Banach algebraic style questions in the abstract harmonic analysis; recent work has concentrated upon looking at algebras which arise in the study of operator algebraic approaches to quantum groups. I am also interested in more classical problems in Banach algebras (specifically, dual Banach algebras, and various cohomological properties); I also have interests in Banach spaces.

Useful links

Personal webpages
Complete publications list
Teaching information

Postgraduate students

Steven Trotter (2012)

Selected publications

Matthew Daws, Richard Haydon, Thomas Schlumprecht, Stuart White, "Shift invariant preduals of $\ell_1(\Z)$", Israel Journal of Mathematics, to appear.

Matthew Daws, "Representing multipliers of the Fourier algebra on non-commutative $L^p$ spaces", Canadian Journal of Mathematics 63 (2011) 798--825.

Matthew Daws, "Operator Biprojectivity of Compact Quantum Groups", Proceedings of the American Mathematical Society 138 (2010) 1349-1359.

Matthew Daws, "p-Operator Spaces and Figa-Talamanca-Herz Algebras", The Journal of Operator Theory 63 (2010) 47-83.